The drive's RPM will have absolutely no relevance to stability whatsoever. You most likely had some incompatibility problems. I'd forget about that.
Obviously most 7200RPM drives will be a fair bit faster than your current one. However, they consume a fair bit more power, so if you regularly use your laptop on the go it's something to consider.
With regards to capacity, only you really know what you need. Drives with higher capacities are sometimes faster due to having a higher bit density - this relies on them having the same number (or fewer) of platters. If you don't know what I'm on about have a google.
The 500gb one seems to be out of stock on the site you linked btw.
Obviously most 7200RPM drives will be a fair bit faster than your current one. However, they consume a fair bit more power, so if you regularly use your laptop on the go it's something to consider.
With regards to capacity, only you really know what you need. Drives with higher capacities are sometimes faster due to having a higher bit density - this relies on them having the same number (or fewer) of platters. If you don't know what I'm on about have a google.
The 500gb one seems to be out of stock on the site you linked btw.