Like some people above me said, it is very hard to "tell" you how zerg should be played - there's a lot of things that you just kinda have to keep doing over and over again to get the "feel" for when to make drones and when to make units, etc.
If you have any specific questions you can also just PM me and I'd be happy to help, otherwise just watch reps of Masters+ Zergs (they don't have to be top level as long as they have a good understanding of their race).
To add on Aequitas:
A big portion of Zerg inject cycle is how you do it, some people prefer backspace injects, some prefer 55v66v77v idra style, it really depends on which one feels most comfortable for you. They all have their strengths and weaknesses, I personally like 55v66v because I have a razer naga so the numbers that are "hard" to reach like 8 and 9 are easy for me. Injects should usually be the first thing on your priority list.
Droning is quite complicated and is generally based on scouting. Unfortunately, BSG players tend to have some weird things in their build, so you can't really rely on gas timings etc. to deduce what your opponent is doing, so in that sense you will probably have to sacrifice a ling into his army just to see how big his army actually is. Always try to keep the watch tower. Try to keep your army so that it's slightly weaker than his, and when you see him push out in the watch tower vision simply make more units.
For a basic composition, pick something gas heavy and revolve around it - things like infestors/mutas. IMO you should probably stay away from roach/hydra because of its general passivity and how different it is from the current metagame. If you go mutas/infestors you will have a lot of excess minerals that you can use to make 1. drones/hatcheries and 2. lings/roaches etc.
Even the smallest donations help keep sc2sea running! All donations go towards helping our site run including our monthly server hosting fees and sc2sea sponsored community tournaments we host. Find out more here.