Various jquery plugins and items are not loading

I’ve been trying to add jquery to my wordpress theme i designed. I tried with plugins via dashboard and all failed. I tried doing it manually in the header.php but i cant get the effects to work. The image are shown side by side, static instead a transition, rotating effect with one image display after another.

I tried 13 tutorials manually and have around 15 plugins installed and none has work for me.

I really will appreciate help because im on my limits.