Are you using a 64-bit version of Windows?  I don't recall all of the details, but the 32-bit version will probably use only 3 or 4 gig of memory no matter how much you have in the laptop.  Since you're reloading anyway, it might be a good time to upgrade the OS to 64-bit. 
 
Good luck.

Old55, his sig says Win 7 64 bit.  But, the original problem, after inserting the memory was the 5 beeps at PC power on, which is an error report from the Power On Self Test (POST), which is an "RTC Clock Failure".  At that point it will not boot up or even load the BIOS.  Its not an OS problem at that point as its not even getting to the point to access the hard drive and load (or try to load) the OS.  If this is still the problem, reloading the OS, which is not needed, is impossible.

Sorry, I overlooked that that part.  Thanks for pointing it out. 
 
Then I'd go back to the original config and see if the beeps continue.  If they don't, I'd swap in the new DIMMs in a minimal config to see if one of them is bad.  Thirdly, I'd make sure that, you're not mixing the DIMMs within each bank--especially since they're different in style and appearance. 
 
Good luck. 

Got the battery......gonna give it a try.

Status update: changed the internal battery and restarted the computer with the new 16 Gb of ram installed......5 beeps with an error code that read, ERROR 210. CPU variable MTRR configure failed.

Removed my new 16Gb memory cards (2x8Gb) and reinstalled the original set of memory chips (2x2Gb) the computer and windows rebooted like nothing ever happened. So what is the problem with my new 16Gb's of memory?

If the beeps are timed 1 then 3 then 1 according to this site, that is an indication of the "Memory modules not being properly identified or used" or is that code not used in this PC.

Maybe one of the new DIMMs is bad.  Try putting both of the new DIMMs in the system and see if they work by themselves.  If they do, leave them in and add the original DIMMs to the second bank and see if that works.  If the two new DIMMs fail by themselves, one or both may be bad.  Try putting one of the old(known good DIMMs) in the first bank with a new one.  If it passes, try the second one.  If one them fails, it's bad--send it back to Dell.  If they both fail, it may be a compatibility problem between new and old DIMMs.  Send them both back to Dell. 

Ok....I just tried what old55 suggested and got the error codes and beeps for each swap. Went back to the original DIMMs both 2x2Gb's and it's all good. I'm done with this and now going to call Dell and send them back for a refund along with a refund on the tech support that never was. This should be interesting.

The new memory may not be bad and larger chips may be an older model that works the same with/as the newer model that uses smaller chips on the memory board.
 
Perhaps it is just - the wrong memory they sent you and it will not work in your computer and different type memory is needed. I do not know for sure just a thought.
 

Possible, I think I'm just going to go to best buy and hand pick them myself once I straighten out Dell. I'm just happy my computer is alive again.