Laptop Battery Messed Up Date / Time

Okay, so it's been over a year, and my 6cell battery is beginning to die out. I ordered a replacement battery from eBay rather than Dell. I'm a college student, and paying $50 sounded better than paying $200. Anyways, I bought a 9cell battery for my XPS. So here's what happens when I plug in the new battery:

AC Charger with NO battery: Computer runs perfectly fine

AC Charger with battery: Computer runs perfectly fine

Battery with NO AC charger: Problems...

When I plugged in just the battery alone, I went into BIOS and saw that the system's date and time were screwed up; it was showing some weird date in the year 1901. With this new battery, sometimes the hard drive wouldn't load. For example, when I turn my computer on, I can hear the hard drive spinning, but after a couple of seconds, the whole system just...freezes.

I initially thought it was a problem with my hard drive, since a screen kept coming up saying that some of the Windows files were corrupt. I did a clean install of Windows 7, and even tried Vista, but still nothing. With Vista, the date and time would still mess up, and sometimes nothing would load. I even tried system restoring after booting from the CD drive, but I received an error message that I had no shadow copies to restore from. I tried starting up with another hard drive, but still had the same issues.

Right now I'm using my old battery, and I get the message "Consider Replacing Your Battery." Can anyone help shed some light on this issue? Does the problem seem to be with the new battery?

laptop specifications:

RUNNING: WINDOWS 7

XPS M1330, Intel Core 2 Duo T9300(2.5GHz, 800Mhz, 6M L2 Cache)

Matte Black Casing XPS M1330

4GB, DDR2, 667MHz 2 Dimm, for XPS M1330

13.3 Inch Wide Screen WXGA TL WLED Backlit LCD with Camera

128MB NVIDIA GeForce 8400M GS

56 WHr 6-cell Lithium Ion Primary Battery

BIOS Revision A15