i suggest that u conduct a patch test to find out whether the moisturiser suit ur skin type.apply the product on ur inner upper arm about one inch from ur arm pits.if theres no rashes/allergic skin reaction develop in the first 24 hours then ur safe to use the product
YES MOISTURISER IS A MUST AND UR SKIN DEFINATELY NEED IT as moisturiser does hydrate ur skin plus also act as a barrier to seal the miosture in ur skin,preventing further moisture loss.the sebum gel ur using may not be sufficient enough as it acts as a serum(more concentrated than miosturiser and give specific result) by hydrating ur skin+oil control.moisturiser is a must for oily skin,acne prone skin,blemish prone skin,dry skin,combination akin and even normal skin type needs moisturiser.when ur skin is dehydrated,ur brain will signal the oil glands in ur skin to produce more oil as to provide moisture to ur skin,thats how u end up with oily skin.also when skin is dehydrated,that add stress to ur skin thus making u breakouts more.
chances are ur allergic to one of the ingredients in the moisturiser or that ur using a moisturiser that is not suitable for ur skin type.if ur acne prone,stay away from mineral oil based moisturiser.use only water based ones.
as for the sunblock theres a few reason to why ur experiencing breakouts.first,ur using the wrong sun block for ur skin type.for ur skin type,u shouldnt be using cream type sunblock as it may make ur skin even more oily,and the creamy texture is simply to rich for ur skin type causing stickiness too
consider using milky lotion type of sunblock which has lighter feel on skin.
also the use of sunblock tends to dry up the skin as well,so therefore,u definately need to use moisturiser here to prevent skin dehydration.
also since u mention u develop acne while using sunblock it also simply means that u didnt clean up the sunblock residue throughly.wheres theres a use of sunblock,u need to use make up remover to remove the sunblock first,add with lukewarm water before u proceed to wash ur faces with ur normal cleanser.normal cleanser is unable to throughly remove the sunblock,thus ur experiencing acne cos ur pores clogged.u need to double cleanse: MAKE UP REMOVER -->CLEANSER when dealing with sunblock before ur off to put ur normal skin care before u go to bed @ night
THANK YOU SOOOOOOOOO MUCH DEVIL DOLL!!!!

I never knew that I need make up remover to clean up sunblocks..... thank ya!!!!