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1. Query Results with the same parameters are [cached for a week](https://meta.stackexchange.com/a/139098/158100). In those cases you don't need to click run query.   
If the query isn't cached, there is no option to run the query with just following a link. Anonymous users also need to solve the reCaptcha before they run a non-cached query.

2. You need to [query](http://data.stackexchange.com/stackoverflow/query/895642?user=2377343) the votes tables (votetypes 1 (accept), 2 (up-mod), 3 (down-mod) and 9  (bounty) are of interest.

 This query will probably do it:

        select sum(case v.votetypeid
                when 1 then 15 -- accepted
                when 2 then 10 -- up vote
                when 3 then -2 -- down vote
                when 9 then v.bountyamount -- bounty earned
                else 0
                end
                ) [answer rep]
        from posts p 
        inner join votes v on v.postid = p.id
        where posttypeid = 2 -- Answers
        and p.owneruserid = ##user?int:2377343##
        and p.communityowneddate is null -- only non community wiki answers
        and v.votetypeid in (1,2,3,9) 

3. That is not possible at the moment but there have been feature requests that ask for the same feature to be added, for example [here](https://meta.stackexchange.com/questions/135997/how-can-i-remove-queries-from-my-data-explorer-profile) and [here](https://meta.stackexchange.com/questions/122324/delete-own-query-on-data-explorer)