These kind of microphones look similar to the tonor ones I bought on amazon, they are probably fine.
The TV looks normal but no analog line out, so don't know how you are going to deal with that.
That is not the right kind of speaker to sing karaoke through. You will likely damage it.
That is not the right kind of mixer. You need one with effects (echo or reverb).
So yourself a favor and buy something like this...
https://www.amazon.com/LyxPro-SPA-5-5-Speaker-Amplifier-Powerful/dp/B01IFIEHPM?ref_=ast_sto_dp
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