With a little troubleshooting your phone can probably be straightened out.
First, uninstall ALL task killers, RAM memory optimizers/boosters, battery savers/repairers, cache cleaners, etc etc. None of that stuff is necessary. Such apps are actually counterproductive and some are just plain evil. They actually waste power and disrupt critical system processes and degrade performance. Not to mention the nag ads many throw up.
Uninstalling crapware may solve the problem. If the phone is still slow, install System Panel.
https://play.google.com/store/apps/details?id=nextapp.systempanel
System Panel makes basic trouble shooting of a sluggish device simple. And, it will show you what's actually running and what's not.
Look at the opening screen, 1st one when the app opens. It gives the basic information you need. With the phone at idle (apps can be open, but nothing such as an active phone call or file transfer) check CPU and RAM memory usage (pie charts upper left corner).
Normally, CPU should be less than 5-10%. CPU clock speed (top horizontal bar) varies but should be something less than max. If CPU is high, look at the app list on the same screen. Check the CPU usage for each app (small vertical bar on left edge, next to app icons) for offenders.
RAM usage should be about 75-85%, unless you have recently rebooted and not yet opened apps to load RAM. You want to check these values after a fresh reboot, after some normal usage and when the phone has slowed.
If RAM usage is too high, again on the opening screen look in the Active Applications list. Check for a running app you have not used recently. It may not have closed or cached properly and is holding RAM. If nothing seems unusual in the Active Applications, scroll down to Inactive (Cached) Applications. It may be harder to determine what belongs in this list and what doesn't, but if something looks iffy, particularly if it shows holding a lot of RAM, you can try long-pressing on it and select 'End Task'. If you select a required system process, no worry, it will just restart. If RAM usage returns to normal and/or the phone feels faster, that could be the offender.
Troubleshooting beyond this gets more complicated, but what is outlined above will find most problems causing sluggish performance