Is it a good idea to index varchar columns only used in LIKE opertations? From what I can read from query analytics I get from the following query:
SELECT *
To answer the metrics part of your question: The type of index/table scan/seek being performed is a good indicator for knowing if an index is being (properly) used. It's usually shown topmost in the query plan analyzer.
The following scan/seek types are sorted from worst (top) to best (bottom):
As a rule of thumb, you would normally try to get seeks over scans whenever possible. As always, there are exceptions depending on table size, queried columns, etc. I recommend doing a search on StackOverflow for "scan seek index", and you'll get a lot of good information about this subject.