have you tried an SMC reset? PRAM reset is usually good after a logic board replacement. also double check if they serialized the logic board by going to Apple>About this Mac> click the version of OS X a few times until serial pops up.
smc reset:
1. pull battery and magsafe power
2. hold power button for 10 seconds.
PRAM reset:
1. make sure computer has battery/power
2. hold apple (command) + option + P + R right after pressing power button and wait for 2 chimes.