tense agreement

[Dr.Appalayya]

Should I work with her(monster-like), I will engage one or two musclemen as guards against her possible physical attack.

I would (definitely)take care of her with full attention, and I don't mind how much effort it requires.

Do the tenses agree in the above two sentences?

[rj1948]

In the second sentence,'will' is appropriate to 'would'.
In the first,is 'should 'used as in the following sentence.?
'the management regrets,should the strike materialise.