You applied for a visa that you do not want to have, how difficult is it to understand you have to cancel your application and talk with Immigration about your stay. And after that with your new employer to start a new proces of application.
You can not have multiple visa application at multiple Immigration Offices and just to let you know, Immigration use a database so all offices know what is going on.
I let it into the group, BUT there is NO 1 year family visa.
I guess you like to convert your stay based on being family of your daughter but that all depends on the reasons and issued stay of your daughter.
Without basic information it is impossible to tell if you can apply, visit your local Immigration Office with your daughter, both passports and tell them what you like to do.
Take a look at your visa, you will see a enter before/valid until date, if that date is in the future you can leave Thailand, come back and get 1 more year of stay OR until the validity date of your health insurance.
OR you can go to your local Immigration Office and apply for a 1 year Extension of Stay, please ask them for their requirements.
It is almost impossible to give advice based on I have a Non O-A visa and I want to renew. You can not renew an issued and used visa, you can OR use the multiple entry, apply for a new visa OR apply for a new Extension of Stay.
You applied for a new visa using a school documents. If you not going to work at that school you should inform Immigration and cancel your application.
That also means you have to find a new and other way to be legal in Thailand.
Their must be a person at the place where you follow your internship that speaks Thai, let them call the Immigration Office and ask for the hand out with requirements.
The did manage to get all your documents together to apply for a Non Immigrant ED visa, it is not that hard.