thanks a lot for suggestion.. this is interesting.. so the shearing would make this uneven coverage at ends.. i am not a wet lab guy but i think ideally it should not.. because shearing is supposed to be random..
i am also suspecting whether there were any incomplete cycles in pre-amplification where this 200bp fragments could have made. but that is also not the case as the cycles were all with ample extension time (1 min for thermo phusion pol).

can you make that region wider? what happens further out, plus also can you indicate the primer locations.
shown above is the coverage of 700 bp region of my interest.. further out there is a steep decrease in coverage..
the primers were flanking the region ~10nts outside and ~10 nts inside the target region as shown below.
is it possible that you are sequencing the primers there? Basically primer + illumina adaptor
the target region was gel purified after pcr so this possibility is less likely.. i identified mutants in those reads.. so i think they are not coming from primers or adapters
It is very easy to check your data for this. Count how many reads are primers followed by the illumina adapter. You should remove these reads.