Well she is acting age appropriate.
She is only a baby... and kids, even until 3+ years old, they do NOT have impulse control, nor at will. FULL "impulse control" is NOT developed yet, nor at this age.
At this age, they are exploring... time-out's and "explanations" are not readily nor promptly understood by them, them being a baby... and not being an older kid.
Keep expectations age-appropriate...otherwise, frustration will occur, for you and baby.
Babies LOVE buttons, pulling, "hitting", tugging etc. They are still learning. Lots. Most all babies do this... which is good actually, because it shows they are developing on par. Babies do this.
In fact, I would be more worried... if a baby was NOT doing these things... and then that would be a developmental concern.
The reactions and behaviors will continue, until she is older... and more developmentally mature, to understand, literally, about social constructs and what is appropriate or not. Even 5 year olds are still learning this. Even Preschoolers as well.
A good book is: "What To Expect The First Year" and, "What To Expect, The Toddler Years", which you can find at most bookstores or online like at Amazon.
I think, you may be expecting too much, too soon.
Not meaning to be rude, but many times, the "expectations" upon a baby... if it is not in line with their development, will just lead to frustration. At this age, redirection and distraction is the things to do, with a baby.
It is not just "accepting" them doing something unacceptable or allowing it... but per their age.. you need to keep expectations in line with that..... and guide them. Not everything is a "punish" or "discipline" thing. As a baby changes... the parent has to adjust too. Sure, teaching them socialization/manners/rules.. but to me, that is NOT the same thing as letting them act up or allowing it. There is a big difference.
As for speaking/talking: they do NOT use language perfectly yet. And YES, they "babble"... this is a precursor to "talking." It goes in stages... not all of a sudden. Nor their usage of language nor their pronouncing things correctly, nor their articulation of sounds. Even "singing" is a precursor to talking... and reflects their GAINING language/talking.
She is so young... to have these expectations. Each child is different. Do not compare her to other babies.
Nothing is wrong with her. Your baby is NORMAL.
You can also teach her sign-language... for functional words. ie: hungry, drink, tired, eat, more, etc. I taught my kids this from 6 months old. And through repetition, they learn it. It is a good way to help them learn to "communicate" and to talk.
My daughter spoke early. My son did not. BUT, they are both very bright kids. "Talking" has nothing to do with "intelligence." Einstein, did not talk until 3 years old. And HE is a Genius. My son, even though he spoke later than normal, was assessed to be even Advanced in several areas, and my kids are both bi-lingual. So, talking early or not.. has nothing to do with intelligence NOR comprehension.
Also, at each age-juncture or age change, it tweaks a baby/child. When they are hitting major milestones, or having developmental changes, changes in cognition and motor-skills.. these ALL tweaks a baby, because they are adjusting, and it affects their sleep too. Its normal.
Your baby wanting to stand up in the tub... that is normal. Her motor-skills are changing, and this is how they "practice" their new skills/coordination/abilities. A baby CANNOT just sit still... like a 1st grader. They have fledgling motor-skills developing. Its normal. So you just practice baby-safety and baby proofing the home. Because they WILL explore everything.
"Discipline" at this age, is not real appropriate.
Think.... about what is their developmental skills, versus teaching them about their world. And, their emotions are NOT even fully developed yet, nor their ability to understand abstract concepts as that. So... you need to ALSO teach them about emotions... showing her pictures of faces and expressions and the words for it... ie: happy, sad, mad, angry, etc. My kids, I taught them that, so that it would help them express themselves. So, once they were about 2 years old, they could actually TELL me "Me sad..." , "me happy..." , "me mad..." and I would be so proud! Even "mad" feelings in a baby/kid are not bad... it is them being able to articulate and express themselves. I... do not expect my kids to be perfect nor to always have "happy" feelings... they are human...but the trick is to let them express themselves, to have self-reliance, to know themselves, and to express it, with Mommy... so that they are articulate and know themselves. I want my kids to express themselves. Even if they don't feel happy. I don't "discipline" for that.
There is a difference in a baby/child exploring and trying to understand their world... and a baby/child that is just being "defiant" out of being "naughty." A baby, is a baby... and at this stage, should not "be" all perfect about things. It is guiding them... not just using "discipline" or punishment for everything... you have to gauge it. Explain... things... with the actions. Show them... then when they are older... you have "rules" and consequences and teach them about manners.
Again, your baby is only about 1 years old... still SO young. Them learning about all these things, will take all of childhood. So, discern their abilities/uniqueness/talents/misunderstandings... and guide them. Using "no" and punishments across the board for everything, will not work. It will stifle them. Or it will only teach them that they cannot express themselves or question things. "Perfection" is unattainable....but rather, I tell my kids "just try your best.... for who you are..." so they are proud of themselves, and not comparing themselves to others all the time..
Again, with time, and as they get older... this is something good to teach a kid.
Sorry for rambling! LOL :)
All the best,
Susan