Hi Daniela,
The article on "ID Annotations with Mascot Search Results" is really applicable for you, and you should read it carefully:
https://skyline.gs.washington.edu/labkey/wiki/home/software/Skyline/page.view?name=mascot_missing_rt
Note that you do not have any ID annotations showing up in your chromatogram graphs. You should not continue processing this data until you do.
In this case, the problem is not with your RT values, but with the Source File values in your library. In the case you are showing in your screenshots, the spectrum source file is showing up as "Test2_IA_final_fragment.csv". With PLGS, Skyline should be able to remove the _IA_final_fragment.csv part, but then it will be looking for a raw data file named "Test2" to match with your spectrum source file. When you import a raw data file that does not match any of the spectrum source files in your library, then Skyline assumes you have no IDs for that raw data file, and this is pretty disastrous for MS1 peak picking.
True, you can improve matters with the option you have showing in your second set of screenshots, by limiting the range of retention time in which chromatograms are extracted (though 0.5 minutes seems a little narrow to me). In this case, if you have this option selected, but have not matching ID times in your file, Skyline will just use the ID times that do not match, assuming this is what you want, but it still won't use those times for peak picking (which we've actually improved in v2.6 to be released soon).
You will get the best peak picking if you go through the effort to make sure you spectrum source file names match your raw data file names, so that Skyline knows which raw data files your various IDs occur in.
Consult the tip on ID annotations carefully, and keep working until the ID annotations show up in your chromatograms. Then, reimport your data, and you should be much happier with the results.
Hope this helps. Sorry it is so complicated.
--Brendan