....How old is your baby???
He is sleeping longer when the temperature is up... because, he is hot. Being hot like that.... means overheating... and one of the symptoms 'can' be.... not waking up. Babies... over-heat much faster, than adults.... over-heating causes Drowsiness.....
80 degrees... is hot. I live in Hawaii.... even we think it is hot at 80 degrees.
Try a sleep sack for your baby. Amazon has them.
Try putting on white noise... we put a fan on low, when my kids sleep.
Perhaps as well.... You or Hubby are waking HIM up... babies can hear us SNORE, or toss and turn too.
Maybe he is having a growth-spurt... and therefore, babies get mega hungry... and need to feed ON-Demand.... 24/7. Are you giving feedings on-demand???? If not a baby will always be hungry and not happy.
My kids as babies... woke every 2-3 hours. I breastfed on-demand even at night, for at least the first year of their life. It is not easy. But, I just did it.
My kids, had HUGE appetites as babies and when hitting growth spurts, they would do what is called "Cluster Feeding", which means a baby even feeds every single hour. But ALL of these things are normal.
Babies, when they hit a certain age/development, WANT to do what WE do. They learn that way. He is not 'needing' constant attention... he is playing.... and learning... with you. Believe M.... ALL babies, will band things AND our keyboards AND sit on our lap while doing it and while we are doing it. And they will, 'play' with the clothes as we are folding it. Babies ALL do this. It is normal development.
It is also a time where you need to baby/safety proof the home...
He seems to be developing just fine, it is not easy and very busy and the lack of sleep... does not end.... until later. Put it this way... my kids are 4 and 8... but even now that they do sleep all night, I 'wake" anytime I hear them toss and turn or make noise. It is just habit... and my ears are always tuned to them... 24/7.