Measuring reverse transcriptase activity in E. coli
the devil is in the details here - the logic is okay, but there is no experiment here. Too many unanswered questions. 

Are you doing anything specific to see optimize RT activity?  

How are you preventing your GFP mRNA from being turned into protein, producing much larger signal than you will ever see from RT activity? 

Once its integrated into the chromosome, how will this gene be expressed when it has been suppressed in all these other stages? 

How do you know that the plasmid isn't just being incorporated into the chromosome by some other means?

Where is the RT coming from ?  E coli doesn't have the gene. this experiment is very likely to give no results.  

When/how does this RT work?  If its some sort of phage RT ( i don't know if there are such things) any sort of viral RT will probably kill the cell the way normally it would. 

so many questions before this could work - need to do some homework here.