Does Claudis think that Hamlet isn't really or is just pretending to be mad?

i think that Claudius doesn't think that Hamlet is mad. i mean he is Hamlet's uncle and knows him pretty well obviously. and during the play the knig kept looking over to see that Hamlet was watching his reaction to the play. by making the comments that he did while the play was going on Hamlet seemded very knowlegable about what was going through the king's mind. actually before that Claudius doubted what polonius ws telling him so for Claudius physical proof was needed for him to believe that Hamlet ahs truly gone mad.
OVER AND OUT RAINBOW TROUT

my questions?

so my questions are:
does the king really plan to kill hamlet?
does rosencrantz know whats going on in the play and in real life?

Was Hamlet in love with Ophelia prior to this scene?

i dont think Hamlet loved Ophelia prior to this scene at all because if he is truly just playing the role of a madman, then i tink he is just playing her to get at Polonius. there is no real textual evidence that he was in love with her, all that we know is that she loves him. seriously though if he really was in love with her why would he make that generalization about woman. the text only identifies that Ohpelia loves...actually its all assumption because she never actually states that she loves him or for that matter in love with him. all she does is take her fathers' teaching on love and he [Polonius] just tells her not to have any relations with Hamlet. i totally put my foot in my mouth Mr. J sorry bro...okay dude check this:
Ophelia
" He hath, my lord, of late made many tenders
Of his affection to me"(p.22 lines100-101).
i know right so back to it, i still do not think that there is evidence to say that he[hamlet] loved her[ophelia] prior to this scene what so ever. oh, i also still think that he is just using her to tick Polonius off.
OVER AND OUT RAINBOW TROUT (MYLES)