I would not expect a dead PRAM battery to casue that. If it did, zapping the PRAM would restore function until the computer was again deprived of all power--wall and main battery.
Can the computer run at all? If you can get it to wake up, that is a different set of issues than one that will not wake up at all.
If it won't wake up at all: Remember that the MacBook Pro 4,1 had the dreaded "Nvidea curse." The Geforce 8600M GT video chipset was prone to failure due to improper manufacturing by Nvidea. Apple had a repair program to fix this at no cost to you but it expired in Dec 2012. Mine waited until June 2013 to die. It's still dead.
The only cure for the "Curse" is a new logic board. An Apple service provider may still have the hardware tester that positively identifies if the video chipset has failed.
If you can get the computer running: there was a sleep issue with mine (3,1 but same logic board architecture) but it went away when I upgraded from 10.5 to 10.6. Still, worth checking if you get the comptuer running. Open Network preferences and select Wi-Fi. When that screen comes up, click the Advanced button--it should come up with the WiFi tab active; if not, make is so.
Now delete any wireless networks you don't use on at least a weekly basis. My old MBP refused to wake from sleep and required a restart. A check of the system log showed the computer was trying to a connect to the wifi network at a lodge I'd stayed in a month before and 50 miles away. Deleting that "remembered network" cured the problem