Could have possibly damaged the battery during repair. Also try plugging the phone into a computer and see if you can get any response on your PC, if your pc sees it then the screen is dead or the backlight is gone on the screen or the backlight coil on the motherboard is damaged. Weird problem you are having buddy, hard one to diagnose in afraid.
The reason why you old battery doesn't work is likely because it's dead flat, there is a small chance that the charge port you purchased is faulty as well as your original port but it's unlikely. It's is more likely that the charge IC on the motherboard is busted in some way. The process of replacing, repairing or even diagnosing this is pretty intricate, If you want to look into it further, check out http://gsmforum.com/ as these guys really know their stuff. It would be infinitely easier to just put your original parts back in and take it to apple to get a refurb replacement.
I had the same issue with a customers 1520, after fiddling round with it for a bit I noticed that some of the soldered points on the back of the screen assembly weren't covered like on the original screen. These points are located to the left of the circuitry that shows through the mid frame at the top end. Since vibration worked on the original screen, I insulated those points and hey presto! Vibration returned. Give this a shot.
Likely a laser issue, replacing the laser should fix this, make sure to observe the drive with the lid off (don't get shot in the eyes by the laser, use extreme caution with exposed laser devices). This way you can determine if the laser is faulty or if the drive HUB is the issue (no spin).
You have to take the console apart, remove the drive and take that apart. Take the tray out and realign. Pay attention to how the mechanism works before you mess with it. To take the tray out you will have to squeeze it from the sides to unhinge it from it's plastic guide rails. When you get to putting it back in, slot one side in first (i slot the side in with the teeth for the gears first) followed by the other side. If you aren't confident, take it to a repair shop. They should be able to fix it for you. THIS is a video of a 360 slim tray realign, the phat consoles are pretty similar. Microsoft support will not help as they don't tell you how to dismantle the console or components.