I think you have identified the right word in the first sentence. A replacement word could be "allowed". In the sentence, this means you are not permitted to give tax advice. "Entitled" means having a right to receive something. So the reason that it is wrong is because it essentially creates a confusion between giving and receiving something.
In the second sentence, I think the wrong word is "will". This is because the sentence starts with "Depending", which implies the results could be good or bad. The use of "will" implies a definite outcome and so that is why, to me, it doesn't work. I would replace it with "may" or "might" which indicate that you will only be able to increase production if the results are favourable.
(One of the meanings of "enhance" is "to increase", and so to me that works).
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