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1. it may be ok for a starter scope but I think many would recommend a bit larger or different scope. 130mm or 5" is not a big scope now, with most going for a 8" newtonian reflector
2. the orion shorty barlow is good quality - and doubles the magnification of each eyepiece. Keep in mind though it cuts down on the light getting through - so is for the brightest objects.
I don't use moon filters but they can be useful when it is too bright
3. For this setup I would get one good quality eyepiece, generally the ep's bought with these scopes are not the best - they throw something in so you feel you are getting a complete package. I would look at something like a televue plossl, maybe 15x (60x mag) which would barlow to 120x magnification on the planets. This is a personal choice though and you will get many different answers on EP choice.
4. the mount you bought with this is most likely an EQ2, not the most sturdy - if anything i would change this to make viewing more enjoyable - this mount will most likely shake a lot when moving it around
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