Please forgive me if I am splitting hairs hoohoou, but "profiting" and having needs met are two completely different kinds of ideas in my book. The verses you are quoting are not licensing profiteering off of the gospel.
Peter told the elders not to serve for "filthy lucre."
We are told that we cannot serve two masters.
Jesus said "freely you have been given, freely you should give."
Peter said a time was coming when false teachers would make "Merchandise" out of Christians. The word is (if I can remember how to spell it in greek from memory) emporiomidzai, a rather pointed term from where we get a fascinatingly relevant modern word in English.
There is no problem with reasonable support...profiteering is completely unqualified. However, this is a heart issue between men and God. Only you know if you are profiteering off of the gospel or not. Well, in some cases, If I read your bank statements I could tell if you were profiteering or not.
When Paul went to Corinth, he was building tents and supporting himself. Thus Paul did not limit his ministry by people supporting him. But when financial support came in from Philippi, he was able to teach the Corinthians for a whole year and a half.
I personally, admittedly, resent that people think they need "Official Capacity" in order to serve their Lord. It is one of the biggest stumbling blocks that I see with believers I talk to ALL the time. They seem to think that God is limited to allowing them to follow Him by having some official "Title" or payroll, or recognition. These things may come...but they do not designate your qualification.
It seems to me that a lot of people are squashed in what God is calling them to do because they need these items first.
The intended speed and acceleration at which a believer moves at while they "live move, and have their being in Christ," is between them and God. Praise Jesus though that the body of Christ can support and maintain those individuals velocity...
Financial support for the ministers of the New Testament was a confirmation of their calling and authority, which came first, rather than being the requisite as we see it today. Money was never a hindrance to the calling (it certainly helps the velocity of the call though.) Paul is also emphasizing in Corinthians that the giving was not just for those whom would receive the benefit, but was intended to be a benefit to those whom gave. There is a lot more to the passage in Corinthians than ministers commonly point out.
Serving Jesus then is benefited by, but far from limited to, financial support from other believers. Cut off the payroll spigot from many "ministers" in the United States today, and all their 'service' would dry right up. Remove their titles and merit badges, and their "authority" would shrivel away...
Keyword in verse thirteen, "Live" of the gospel...not profit.
Sorry for not explaining my response earlier.