In regard to
#1: Make sure that your are running Win7 SP1; there were lots of bugs fixed by that Service Pack including known issues with search. Next what is the capacity of your C: bootdrive that you are searching, in GB? And how much is used; for example on my C: drive,
capacity is 500GB, 190GB used. How many files are on your C: Drive?
Mine has 267,005 files. Both of these have a lot to do with your search time using default windows tools. There are better and free tools to do fast searches, such as
Agent Ransack. Clearly, the more data you have on the drive you are searching *this case the C: drive*, and the larger the number of files, the longer it takes. The other option that helps search time is enabling the
"Indexing Option" in Windows Explorer. When you have over 250,000 files in Windows on your C: drive, it can take awhile to do searches. Factor that up, when I have Customers with more than 500,000 files or even a few rare ones with over 1,000,000 files it can take hours to search for a simple photo or word document even with Indexing turned on.
It's a good idea to use a clean-up tool such as
CCLEANER to help with the junk accumulating on your hard drive from regular browsing on the Internet. Many customers have never cleaned their hard drive since they owned their computer, and the excessive build up of many files severely slows down windows processes such as search.
#2: This could be due to several factors, including virus/malware infection and failed hardware due to aging. Hopefully you are not running Win7 on the same 15 year old hardware you were running XP on! Win7 is now 7 years old, and even if you bought a computer built in 2009, that's still very old hardware; chances are very likely the hard drive is failing if you've never replaced it in that computer or if you bought used, that the original owner never replaced it either.
There are many viruses that target each browser, and there is a whole slew of them that target Firefox specifically.
You should scan/remove all viruses found using your built-in AV scanner program. Additionally, you should download the free Malwarebytes antispyware and scan/remove all spyware viruses found. Malwarebytes detects many spyware viruses that regular AV programs cannot detect including Norton, Avast, McAfee, Trend Micro, etc. Retest your Firefox after removing viruses/malware. If the problem persists, your computer probably needs a tune-up and you should pay to have that professionally done. If that's not an option or you live on an island where there are no repair shops, you can test your hardware using my link here:
Windows 10 - Unclickable Task Bar
#3: You may have to adjust the Taskbar properties options; but I believe you are right; I haven't run much Win7 at all since I've been doing so much testing and upgrading with W10 this year, but I seem to recall that is the way Win7 taskbar works. I think this is also true in W8x too. Not much you can do about it, and if you only have 3 annoying things that Win7 does that didn't occur in XP, that's pretty good since there are only 3 out of 10,000 things different. I know that in W10 you can have open tasks on the taskbar and auto-hide still works.
Best of luck and give that old computer a tune-up! Most problems like this can be resolved by providing some basic maintenance tasks to your computer.
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