Will uVision4 IDE work with Window7 OS(32 bit or 64 bit) or not ?
If you have an old version, then you need to check the system requirements stated for that version.
Obviously, the system requirements stated on the website will be for the current version!
If in doubt, you need to ask Keil direct!
I run as old version as 3.60 on Win7 64-bit (IDE + compiler).
I have multiple versions installed, based on what version that was used for certifications of different products.
But I can't tell about potential problems with JTAG or similar. On one hand, I seldom use the ULINK and on the other hand, even an older Keil installation may potentially use driver dll files from the most recent uVision I have installed.