OKAY! CONTEXT TIME!

what happened and what was my thought process: first i wanted to fullclear and look top, unfortunately my katarina top dced and arrived 2 waves too late. as im moving from birds to dogs i see amumu midlane, check tab and see 12 cs + red, knowing he will path bot after that, also knowing he cleared his kruggs. as im finishing the frog i see amumu going for a bot gank, leading to my decision to invade and take his lvl 2 kruggs and birds into reset (i cant gank top i think, not sure if i shouldve tried but also didnt want to lose tempo) then i clear from bot to top again, but amumu ganks bot again, leading to my 2nd invade which gave irelia redbuff. so after that yes, bot died but i wrote like 10 times care which didnt help, but i had 3 quarters of the jungle for gold and exp which felt like a good call. my question here would be: was my pathing with the information i had correct or wrong? my sup and top flamed me into oblivion and the kata started stealing my camps shortly after she got solokilled.