I took the morning after pill yesterday at 2 pm, just 16 hours after condom breaking. Took the second pill 2am this morning and our condom broke again tonight, should I take another dose of the pill. Also got off my period yesterday.

Chances of becoming pregnant while on your period are extremely slim.

You shouldn't overload on your birth control pills -that can really mess up your hormone level. If you just got off your period then you wouldn't be ovulating yet. How long have you been on the pill? If it has been longer than a month and you take it regularly (every 24 hours) you should be fine

First you do need to check the brand or the way you are using condoms, are you leaving enough space at the end ?
You should not be having breakage so much.

Of course even the morning after pill is not 100 percent effective, so even with taking them there is some chance of pregnancy. ** no form of birth control is 100 percent.
You should be about as safe as it is going to be at this point. IF you are having sex this regular, you need to get on a better birth control system.

Also the morning after pill will change the time of your cycle for a couple of months ( often)