Of course it doesn't make sense, but let me have a try untangling the mess.
As others have stated, in 1914 the Kingdom was established in heaven. In 1918, Jesus came to the "temple" for judgment. In 1919 the remnant was released from Babylon the Great.
For many years, the WT emphasized 1919 rather than 1918, but I don't think one date ever replaced the other. The coming to the "temple" is a mysterious way of saying that the anointed class experienced some kind of judgment. In the case of those already dead, it meant their invisible resurrection in the spirit realm that year. In the case of the living, Rutherford and other officers were imprisoned on charges that were later lifted, and this was considered the supreme point of a general persecution which served to discipline the remant for retaining certain Babylonish practices. (It is true, as pointed out by critics, that those practices continued for many years thereafter, such as celebrating Christmas, using the cross, etc.) It was also in 1918 that many Bible Students who were dissatisfied with Rutherford's presidency began forming their own groups, and the Society took a dim view of this. It was understood that these had been separated from the faithful remnant. All these factors together constituted the "temple" judgment - the "temple" being the anointed class.
In 1919 Rutherford and others were released from prison. This was considered to be a release from Babylon, inasmuch as it was believed that the clergy had incited the government to persecute the remnant. While it was the political element that directly enforced the captivity, Babylon was considered to have pulled the strings. The release of the President and officers represented the freeing of the entire remnant at that time. It is confusing because, when the WT today talks about individuals being freed from Babylon, it means that people are sending resignation letters to their churches in order to become JWs. But the historical and prophetic release of 1919 refers to a different kind of captivity - a physical captivity.
Now what about Jesus inspecting the churches? This is something that would have occurred during the temple judgment of 1918, and the selection of the channel would have been made with the release of Rutherford in 1919. So here the WT is giving the temple judgment a wider application. It is as if Jesus needed to consider the entire "wheat field" of Christendom rather than just the small group of Bible Students. However, Russell had taught that the harvest had already been taking place since 1874, so one would think that all the "wheat" had already been gathered into the storehouse by 1918. So yes, the wider application of the temple judgment does contradict other teaches which have been promulgated.
So that's my take on it. None of these matters are explained together and in one place so that any systematic harmony can be done on them.