1) yes
2) yes
3) no, but when older
4) Go to:
www.tsa.gov for flight/plane regulations on international travel and with an infant.
Go and get a Passport promptly. It takes time to process it and then get it:
http://travel.state.gov/passport/
ALSO, per the Passport website... see if travel to Columbia is safe....
Or this:
http://wikitravel.org/en/Colombia
http://travel.state.gov/travel/cis_pa_tw/tw/tw_941.html
http://travel.state.gov/travel/cis_pa_tw/cis/cis_1090.html
I personally would not want to travel there, with an infant. It is dangerous.
I guess though, being that it would be a wedding in Columbia (and with Foreigners attending and Americans)... well, that would probably be a real eye catching thing for crime/criminals to find out about...
Per Birth Certificates and getting a Passport... yes, you need a Birth Certificate first. Then, a passport can be applied for and processed. So as you see... the timeline... for both of these do not coordinate nicely. It takes awhile... to get a Birth Certificate AND a Social Security number... for your infant. THEN a Passport... can be applied for.... you may not have enough time....
-If you can pay more... you can choose to get an 'expedited' passport.
- I doubt... they have such a thing for Birth Certificates. At least in my State they do not.
- You ALSO need to apply for a Social Security card/number... for your baby... and I don't know if they have expedited services for this, either.
When traveling or internationally with a child... it is OFTEN 'required" that you also have a notarized letter, stating that you have the permission to travel with your child (if the other parent is not traveling with you). It is a "Consent" from for travel. Also called 'travel consent form for travel with a minor child" etc. You HAVE to research this... and get all the proper forms and have it signed off on etc.
You also need to make sure, you see you Pediatrician... your baby will only be 5 months old then. You need to check about shots... AND have a "shot record" on you, when you travel, for your baby. AND carry your medical insurance too.... for your baby, when traveling.
Bear in mind, babies can get sick, when traveling... and when abroad.... too. Their immune system is still young..
Bear in mind, that your baby will be real young, you plan to breastfeed.... and you will need to pack a lot of stuff.... car seat, stroller, nursing apron to nurse in public, lots of baby stuff/gear.
Are you traveling alone or with someone else?
This, from your question, seems to be your 1st baby????