I know how to create a new Tag, but what is benefit to me if I do create one?
I know it will help to specify the problem category, but what other benefits does a Tag owner get?
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You can also help users who are unable to create new (valid) tags (/privileges/create-tags) which provides the benefit of a warm fuzzy feeling in helping them out.
I know it will help to specify problem category
Is that not benefit enough?
By tagging the question, chances of it getting the attention of people interested in that kind of thing is greater - simply looking at the tags people can see if they think they can or cannot help. This in turn means that you have a better chance of getting an answer, and a better answer at that.
If the tag is used in 50 and more questions, you get the taxonomist badge.
What benefit do you have to answer questions and solve other people's problems?
If that answers your question - you'll get a badge if you create a good tag: Taxonomist. Now, is that a benefit and what kind of a benefit would you expect is beyond my knowledge.