I have a 1990 honda civic hatchback 1.5ltr 4-speed that is having a slow start. I recently had to replace the ignition switch that I believe I shorted out when I started the car with the wrong key. I'm having the battery charged and checked at the moment. I would like to know if it still has a slow start with a good battery where should I look next

You can check the battery and other start problems:
Check the battery like this:
Turn on the headlights, then try to start the car.
If the headlights do not dim or go out, then the battery is likely ok.
Check that the battery cable plus post, goes to the starter, Minus post to a good ground, like the engine.
If wiring is ok, then look at the starter solenoid for a good connection, and proper voltage at the starter.
Problem is most likely the Solenoid's bendix gear or starting relay, Have someone bang on the starter while you try to start the car. This usually works by dislodging the bendix gear..
Hope this helps.

The next step would be to check the starter motor. It could potentionally be a flat spot in the wire windings or a weakened spring in the bendix.

Starter may be going bad or a bad cable to starter