Jimix is correct in that the protective period after immunization is increasing. You will have to check with your medical practitioner to see which vaccines they administer. If they use the Twinrex (Hep A&B combo inoculation) then your protection will be greater immediately. The combo vaccine has a higher concentration of the antibodies than do the singular injections (series of 2 and 3 for Hep A and B, respectively). Keep in mind, the protective period is also an estimate - very similar to the protection given by the rabies vaccines. Each person metabolizes the vaccine at a different rate so some may be protected for 10 years while others may only experience a 6-7 year coverage. (Only something to consider if you decide to travel extensively over the next few years - no biggy now.)
Here are the lists of vaccinations required for the countries you plan to visit:
The only area you will have a risk of contracting malaria is in Thailand and the specifics are:
Malaria risk area in Thailand: Risk in rural areas that border Cambodia, Laos, and Myanmar (Burma). Very limited risk in Phang Nga and Phuket therefore prophylaxis is not recommended for these two areas. No risk in cities and in major tourist resorts. No risk in Bangkok, Chiang Mai, Chiang Rai, Pattaya, Koh Samui, and Koh Phangan. Source: CDC.
If you choose to use an anti-malarial medication then I recommend the Doxycycline. It is cheap and very effective. Scroll down for the list of medications. As always, check with your health care provider for information.
Enjoy your travels!!!!
ps: Hien is correct about the scarring aspects of injections. It's odd that you have a scar from a TB vaccine. Small pox is about the only other vaccination (and only the first dose normally given during early childhood) leaves a scar. Honestly, I believe the current delivery system has change dramatically to where the initial vaccination doesn't even leave a scar anymore. Since all of the jabs you will be receiving will be given intramuscularly, you shouldn't have a problem. The TB vaccine (and/or TB test) is given just under the skin which could allow for discoloration or scarring depending on your genetic make-up/skin sensitivity.