How would my zombie deck do against a blackwing and a lightsworn deck?

One way to improve your deck would be cutting the deck count to below 42, this helps you draw more of the cards you need. Also to help get cards you need add monsters the search for other monsters. Add another goblin zombie, sangan, or mystic tomato. A spell that is cheap that lets you search your deck is gold sarcophagus, if you want to go all out you can buy 3 pot of duality. If I were you I would add more staple cards that are in every deck, i.e. 2 mystical space typhoons, giant trunade, etc. Look at the builds of other zombie decks on the internet to find other combos that you like.