No need to apply for any Thai Visas for both you, your daughter, and your Thai wife. Personally, I would just make entry into Thailand with Visa Exemption free stamp good for 60 days and if you need more time, just get an extension with Thai Immigration.
Actually, getting a Thai Passport issued from the Thai Consulate in L.A. would be helpful for your daughter's Thai paperwork as it would be more recent evidence of your daughter's Thai Citizenship and quite helpful in an unfortunate case where a District (เขต/อำเภอ) Office that perhaps may or may not be too helpful with your daughter's Thai paperwork (or, hopefully not, perhaps end up being intransigent/stubborn about her Thai paperwork)....
At the very least, get a 1-year Thai Emergency Passport Book issued for your daughter, if not the burgundy Ordinary 10-year Thai Passport Book....
1.) As for your wife and daughter, they don't really require round trip tickets as they are Thai Citizens (even if using U.S. Passports to enter Thailand)! And, if you have a marriage Thai eVisa from the Thai Consulate in L.A., then you don't need a round trip ticket either (even without a Thai Visa too).
2.) As for your daughter, the Thai Consulate in L.A. may or may not issue a Thai Passport to your daughter depending on if all the Thai Paperwork of your wife is current or not, specifically her Thai ID Card is unexpired (and your wife's Thai Passport), and more importantly your wife's Thai Household Book (ทะเบียนบ้าน). If your daughter is already in a Thai Household Book, then definitely, your daughter will be able to get not only her Thai Passport, but possibly her Thai ID Card at the Thai Consulate in L.A.. If your daughter is not yet in a Thai Household Book, then she might be able to get a Thai Passport or not, depending on what the Thai Consulate in L.A. determines....
3.) Otherwise, just have the family make entry into Thailand on Visa Exempt free stamp and then go to the District (เขต/อำเภอ) Office to get your wife's Thai paperwork sorted, then your daughter's Thai paperwork...and, even your own Thai paperwork with Thai Immigration, and afterwards the District Office (if you want to stay long term in Thailand).
4.) your daughter's Thai Birth Certificate (ใบสูติบัตร) is very important, as is her 13-digit Thai ID number on that Thai Birth Certificate!
5.) one thing to help out your daughter's Thai paperwork would be to have a Certified Copy of you + your wife's Marriage Certificate
The [Australian] Embassy and Consulate-General [in Thailand] will no longer witness statutory declarations stating income or bank balances:
As of 7 January 2019, we will no longer provide this service.
Why [is the Australian Embassy/Consulate] doing this?
The minimum income requirements to obtain certain Thai Visa’s has been in place for some time. Thai Immigration want us to verify the income stated in your declaration and we are unable to do this.
any Thai insurance considerations would be best answered with a direct question to the Thai insurance company as they would be the one deciding to pay out or not pay in the event of any claims, and that would vary according to the specific coverages that have been bought or not and details of the Thai insurance policy....
An ASEAN Driving License will only be valid according to this Agreement if there is dual English language on the Driving License.
is your Indonesian Driving License in Bahasa Indonesia only or both Bahasa Indonesia and English? if dual language, then just use the Indonesia Driving License.
Otherwise convert to a Thai Motorcycle Driving Licence....