-I would suggest that you do not need a 5x Barlow for this scope.I tried upgrading a somewhat similar telescope some years ago. I added better eyepieces, a new focuser, and some other accessories. When I was all through,......
The High-Light 1.25" 3x 5-element Barlow would take the supplied 10 mm eyepiece and give it the equivalent of 3.3 mm eyepiece, for a bit over 100x. I expect the 5x High-Light Barlow would give you too much magnification with your included 10 mm eyepiece, as it would yield the equivalent of a 2 mm eyepiece, right near or at the maximum recommended magnification of 200x.
Barlow lenses tend to make the stack of stuff in the focuser long and perhaps wobbly enough that you don't keep good collimation -- another reason for poor images. Short focal length eyepieces without the Barlow can be better than a longer eyepiece with the Barlow.
I would suggest that you do not need a 5x Barlow for this scope.
I tried upgrading a somewhat similar telescope some years ago. I added better eyepieces, a new focuser, and some other accessories. When I was all through, and was using the scope, I decided that I would have been better off buying a larger scope, for about the same price as the upgrade parts cost.
I still have the scope, and I still use it, and it works well. The upgrades did improve the performance somewhat, but I do have a larger scope now, and it really did cost me about the same as the upgrades. The eyepieces, of course, work in both scopes.