[GamePlay] Morgana Q's go invisible /// Moving my Champion issue

The best way I can explain the scenario when I have seen Morgana Q's go invisible is when there is a gap in vision to the extent of having a ward by her location or vision of her casting then Q, the having the Q go through Fog Of War (No vision in the area) and then once the Q re enters my vision it will be invisible and stun me.

1. Threw a ward into the dragon pit, they dropped a pink and began to clear the ward I placed as I saw Morgana cast her Q. I was in the bush behind the pit and didn't see the Q travel outside of the pit and I was stunned.

2. At base, had a ward on other side of the wall. Same thing, saw her cast her Q only this time it vanished as it had hit something then a second later it hit me. Team commented that they hadn't seen it either where as the other team said they saw it fly across to hit me perfectly.

And as for the difficulty in moving my Champion in game:

1. I noticed recently that there would be times I would be near other players and it was as if I was creeping along or there would be a delay in my movements. I've noticed this for a couple months but it used to be a rare occurrence and I would shrug it off as lag but lately when I have been playing mid lane and the enemy jungler would come into lane I would clicking up a storm to get out of the lane and he would shoot a few more auto attacks before retreating resulting in me having to burn flash.

2. Sometimes, it would simple occur as 'Server Lag' my ping would be 35 and my fps would be around 120 and I would get moments where firing out a Q or E would take a moment to register. (Not saying it happened on Thresh just giving an example) Kinda of like Thresh's Q how it has the wind up leading to a delay in the Q being casted, it was kind of like that but on skills that are usually more immediate it comes and goes but I have noticed it more and more and I continue to play and thought I should make a posting.

3. If it is relevant info to give, I play on Mac with all the latest OS updates to my computer including flash player, etc.

-Thanks for reading.