Hello, I've been working as system administrator for 4 years, I'll let you know how I'd fix the issues listed, any question you might have regarding my services I'll glady answer it via live chat.
1) This might be caused by a memory leak, outdated version of webserver or miss configuracion in workers.
2) Simple task to do, should not take more than 5 minutes.
3) This is doable by modifying apache config and letting webserver know that files from X path should not be compressed.
4) We might increase workers and time out, php could be having many workers.
Im able to get everything fixed by tomorow if you hire me. I'll be waiting you in live chat, have a nice day