feeeeline,
Now i see where you got this name
from.
Well that suggestion you made about it possibly being caused by dirt,dust and cat hair would of crossed my mind if i knew to tell you to check for particles inside keys.
Never thought to ask that question, not knowing or thinking you may or may not clean the PC periodically.
It is important at least once a every other week to use a soft lint free cloth to dust off hardware, plus use compressed air.
Should also open the PC Tower once a month and blow out dust, but always unplug the PC touch and touch a metal surface on PC to prevent charge,static or otherwise. This is very important to do, dust can destroy fans,PSU's and other parts in PC. Especially if you have rugs and own a pet.
Do not have to be a techie for this, it's a good common practice for anyone with a desktop.
Yes stuff could get underneath the keys on a keyboard, can blow it out with compressed air, a quick way i use every few days is turn it upside down and shake it lightly and blow into the key areas. 
Dell inspiron is a decent PC.
Yes another keyboard is easy to get, not too costly unless you want one that has bluetoooth,wireless and backlit.
Try to download the newest USB drivers for your model PC ,in Device manager under Universal Serial Bus Controllers.
PC is definitely not idiot proof, mind u
Easy for someone to make a mistake on it, especially if they do not know what they are about to do or have already done.
Why when in doubt before you do it, research it or come here and ask someone with more knowledge on it.
Feeeeline, you will learn more as you do more and more you know the better you will become, never too old to learn.
I always learned from my mistakes, trial and error, although it never cost me, i always do my homework beforehand.
So what about the mouse issue ? From my experience Logitech's drivers and software tend to be buggy.
Well also make sure to use the compressed air on the mouse too, this idea was not my first thought, but now it maybe some or all of your problems now.
Just do not do this
In case with the issues you have with the Dell Diagnostics, do you have original restore DVD's or a recovery partition ?
Good luck, here if you need more help.
Edited by jds63, 23 June 2014 - 05:54 PM.