If you have had your bird DNA sexed, then no need to do it again
What tests to have done depends on the history of Jasper... has Jasper always been with you? Always been on a healthy well balanced diet with lots of fresh foods? How old is Jasper?
If Jasper is young and has been with you for most of his life, then start with a simple checkup (visual once over) and the ever important gram stain. The basic gram stain, an avian vet will usually do on the spot, if you have any worries about any issues with poop not always looking healthy, then ask for a full fecal run. But if you've never had any worries and Jasper is young (under 5), and the gram stain comes up entirely clean, not urgent for anything else to be done. If the gram stain has anything worrisome (blood or epithelial cells; any indication of infection), then your vet will surely want to run a full CBC and likely a liver function panel.
If Jasper is over 5 and has never had any bloodwork done, then even with a healthy gram, its time for the 'baseline' testing if money allows. Bloodwork is not necessary every year for a healthy bird, but you do want to have baseline CBC and liver panel done when the bird is still healthy so that much like humans, there is something to compare to.
I'm an advocate of disease testing (well obviously for what I'm involved with its a requirement), but look into seeing if you have a lab available to mail off poop samples, its usually a fraction of the cost of having your vet run the test. Here in the States, Avian Biotech is one of the leading test and research labs, they offer what they call an environmental sample which is their 'poop' sample. They mail you out a free test collection kit, you swab up a fresh sample of poop, mail it back and for $40 for a two panel test can have results for the two biggest worries (at least in our rescue world) psittacosis and PBFD. But, if Jasper is from a breeder or rescue where the testing was done before, as long as not in any situations of potential exposure, no need for that either.
That's the long answer..... short answer - a good, honest avian vet will do a health checkup (visual, weight, etc) and a gram stain. That's the standard yearly health screening / checkup. If anything is seen or worrisome, then you go into further diagnostic testing.
So happy to hear you are taking your guy in for routine health screenings. So often we hear people who don't believe in taking their bird for checkups... after all, they look healthy and seem fine, they don't need to go. Love seeing parrot families who understand that health screenings for their birds is as important as it for women to go for that mammogram and yearly checkup we dread, guys to go in and have their stuff checked out or even routine bloodwork for cholesterol, sugars, etc.... Anyway, I'm off on a tangent... routine health screenings is something that always lands me on the soapbox... sorry to be preaching!!!!
Again, huge supporter for your choice to take Jasper in!! Hope Jasper breezes thru everything - no worries!!