Couple thoughts to add to the good advice above...(remember you said "the budget is not very high")
I've been playing "church gigs" for over ten years on everything from a beautiful DW collectors kit to bottom line Tama Silverstars. Never have the kits been an issue. Heads and cymbals have always been much more important. Hardware has been a distant third... Low end shells with high end heads, high end cymbals, and medium grade hardware will carry further than high end shells and compromised cymbals every will.
1. That looks to be a reasonable kit and with proper heads and tuning should be the least of your worries. Even with a little wear and tear on them they should last you for years-as long as the youth pastor keeps the juvenile delinquents off them. Even the snare drum will suffice unless you or the other drummer are dissatisfied with it. In that case, do what I do-save the church the money and bring your own snare in. Let the "kids" bang on the house snare drum.
2. You already took care of the head issue-unless those Pinstripes don't work out. Then you will just have to experiment. I am having good luck (providence?) with Evans EC2s on a set of Tama Silverstars at the moment so keep them in mind.
3. Dump those SBRs yesterday. Tell the Board you will need $750 to $900 for new cymbals. Zildjian and Sabian both offer packages for around that price that will provide you with excellent hats, ride, and two crashes. We're talking As, A Custom, AA, AAX, and even Ks for that price. Just so happens Zildjian brought out several new packages for 2017 you may want to look at. The new "Country" package is made up of Ks and goes for (I think) $950. That gets you 15" K Light Hi-Hats, 17" K Dark Thin Crash, 19" K Dark Thin Crash, 20" K Crash Ride. Seems like a heck of a deal to me.
4. Hardware-even "cheap" PDP cymbal stands should be fine, especially in an environment that doesn't involve tearing down and setting up all the time. What you want are: A GREAT throne, bass drum pedal, hi-hat stand, and snare stand. Those will run you around $500 new. You could get significant discounts by going to eBay and Craigslist, but that will take more time and leg work than just ordering from Sweetwater or GC.
5. Accessories-consider a decent mountable tambourine, maybe a jam block, shakers, rods, brushes, spare heads, and several drum keys. Anything else you think may be good to have-djembe or cajon for example should be considered as well.
6. Now would be a good time to buy a plexi-glass screen if you think it may be something you will need, or a direction they have said they would like to go.
I have found it is better to aim high and ask for everything you may think you will need NOW rather than to go back and say...ahhh....erm..."we forgot". This way, even if they can't meet the need now, at least it's on their radar and they can't say "why didn't you tell us sooner?"
So, realistically you are in the $1500-$2000 ball park for the above, and that is without a shiny new drum kit. However, what you will have is an excellent sounding and playing drum kit that should be a blessing to the worship team, the congregation, and especially the DRUMMERS!
Ok, but we all know they are going to balk right? So, what you really need are those cymbals. Now, if you know the pedal is in bad shape or the hi-hat stand is in bad condition... Stick at $900, get your self a basic Zildjian A pack for $700 or a Sabian AA pack for around the same and spend the last little bit on a good pedal or hi-hat (or both).
That's my two bones...and God Bless your efforts!