Real Time Clock checker would I assume check to see if your system's clock chip is accurate (many older boards especially had issues with accurate timekeeping, you'd lose whole minutes every day).
Latency means how many processor cycles the CPU will attempt to retrieve cache data in. Normally that would be automatically set by the CPU's properties. Increasing the number can enhance stability during overclocking, as well as simply allowing higher overclocks, since the cache may not be capable of returning the data in 1 cycle if it's overclocked by 50% (it may hardly work at all in fact; it is affected somewhat differently from the main processor overclocking). The lower the number, the better, and if your system is stable at 1, you've got the best performance you can get out of it.
The Processor Serial Number is the...processor serial number. Intel integrates that into their CPU's (dunno if they continued it with the P4 or not). It was meant, they claimed, to allow things like perfect authentication. For example, if you signed up for a shopping website, the PSN would be used to identify you when you logged in. Then when you gave them your credit card number, they'd record it, and then you'd only need to have them check your PSN to say "okay, you can charge things to the card number we have on file", you wouldn't need to input your card information, and presumably only you would be shopping from that machine, and they wouldn't let anyone (including you) use that card from any other machine. The problem of course is that computers get stolen, crackers can hack code to return a PSN that isn't really theirs, et cetera. So it's not a perfectly secure thing anyway, and it's then no better than just making you type your card number in every time.
Also, privacy advocates got in a tizzy because it meant you could REALLY easily be recorded every time you visited a website or purchased anything, allowing for easier tracking of people's activities. Of course, you can be anyway, based on things like IP address (though that can be changed usually easily), or by your network card or modem's MAC address (slightly harder to change, but not too hard, just replace it with a cheap swap, cheaper than a new CPU, and most people wouldn't swap their CPU to avoid tracking). In response, Intel provided a utility that could disable the PSN, and motherboard makers set the BIOS to be able to enable or disable it, with the default being to disable it. Then crackers found they could even enable the PSN without having to make you reboot and go into the BIOS, or run any special program to do it; they could do it without you knowing.