Coilovers or springs.
 

Looking at lowering the hawk, it's only for road use not track. As you can see by the picture it's standard and a beach buggy. Also looking at getting the wheels refurbished in gloss black. New 2 part rear wing is currently in modification by me at the moment as well to go on.
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If it's a daily driver I'd go with some uprated shocks e.g KYB AGX and some lowering springs e.g. Eibach to keep the ride compliant. Otherwise you go coilover - some of these can be setup reasonably well for road use but the cheaper ones tend to be a bit harsh for daily use.

Have a look at PCA Dynamics springs too, they are supposed to be excellent and provide a bit of a height drop too.

Don't think you can get KYB AGX (adjustable) shocks in the right fitment for these?

I like to do a bit of track time in my car so went for MeisterR coilovers, and they are really good on the road as well.

KYB ultra (gold) shock matched with H&R or Eibach pro kit will be spot on

I have a set of new eibach springs for sale if interested.