The issue you describe with the driver's door is purely mechanical and will not effect anything as long as the door is shut or the handle is pulled. You probably connected to the wrong wire. Did you verify it with a multimeter? Also check your connection. Are you using those shitty T-taps? Do you have shitty crimpers?
If you're lazy and uneducated (lol) then you can safely verify the wire this way... get an inline fuse holder and put a 7.5A or 1A fuse in it. I guess a 3 is okay if that's all you have, but the lower the better. Then connect one end to the "lock" wire and tap the other to the bare metal of your car's chassis. You are manually sending a negative pulse down the wire just like your alarm does when you use the remote. If the power door lock locks, then you have the right wire and it's probably your connection. If the fuse blows, you have the wrong wire and you should tape it up and stop messing with it. Also, this could mean you've jacked up your alarm internally. I've found that DEI brand alarms will handle this abuse while crappy alarms (even Compustars) will just take a shit.
You haven't told us the type of alarm or anything useful. Does the alarm have a direct 2 wire negative output for the door locks or does it have a relay pack? Does your door switch still work properly locking the doors?