NEW USER

Am probably dumb, but when i create a new database I see two on the left panel, and as I continue to create tables etc these are also duplicated, is this right.

Probably you specified the same database twice in the connection screen in the field "Database(s)" ? If so, HeidiSQL will show you the same DB twice.

I never thought about such a situation and now I think duplicates should be automatically removed. Correct?

This gets stranger, I definitly only define 1 database yet it shows 2, if i drop 1 then both vanish ?
Stranger is that if i connect without specifying a database then three are loaded, INFORMATION_SCHEMA, MYSQL and TEST, TEST has no tables but the other 2 have many. Interestingly the DROP DATABASE Button is greyed out

For me, the drop-database button at the top of the screen (below the File Edit Tools etc bar) is always greyed out. No matter what database i'm in. So, this seems to be a bug.
Right-clicking on any database (even empty ones) will always give me the option to drop it however.