Pregnancy is unlikely as she was likely post ovulation by many days.
Pregnancy is also unlikely as you were using a spermicidal condom (props to you).
Hoever to start a birth control pill so near to the end of her cycle could well mess her cycles up.
You guys would have been better to get a "morning after pill" (can be taken upto 72 hours post coital but the earlier the better) and then starting on birth control as soon as her next cycle began.
Don't stop taking the b/c pill now that she has started on them, but her cycles could be a bit messed up for a couple months as her body comes in line with the b/c.
Do keep using spermicidal condoms even though she is on the pill as both condoms and the pill are 98-99% effective when used 100% correctly. So using two different types of b/c is a great idea.
You guys sound like you have the right idea so keep it up.
The pill may make her skip the period she would be starting so taking a test is not a bad idea.
The pill will not affect the result of a test and taking the pill will not harm a pregnancy that has occurred.
She would do well to talk this through with an advisor at your local family planning clinic.