You have to put together a resume. It shows a potential employer more than what you can put on an application. It shows them how well you can type and spell, whether your grammar is good, and what responsibilities you can considered most important or valuable. You'll want to highlight the aspects of your past jobs that are most relevant to the job you're applying for, even if they weren't the biggest parts of your job. There are tons of sample resumes on the web, so I'm sure you can find some that will help you put one together for yourself. A resume offers much more information about you - both as a person and your work history - than an application.
When you write a plural word, such as resumes, you do not use an apostrophe. Apostrophes show possession or are used for contractions. As a former recruiter, that is the type of thing that would stand out as a big negative when I was considering your application - you wrote it incorrectly in the title of your question, so that is the very first thing I thought about you. You must make a good first impression.
It is hard to get back into the work force after being out for a long time. Is their a course you can take through a local community college or rec center where you can get some training on some of the new systems? Are there online training classes you can take? If you do take it, make sure you indicate it on your resume.
I highly doubt that Target didn't accept you based on your answer to the question about stealing. There are probably hundreds, if not thousands, of people applying to the job and they can only accept a few at a time. They also likely just hired many people for the holiday season and may be keeping some of them on board. Don't assume you're getting turned down because of one small answer.
Why do you want to work for the company? Well, to help you better answer that, do your research beforehand. Go online and learn more about the company. Do they do a lot of charitable work? Do they have the same values as you? Do you want the discount at that store? Do you have something in common with the owner? For example, Target is a huge supporter of education. You can register your Red Card and Target will donate a percentage of every purchase to the school of your choice. If that really means a lot to you, you could tell the interviewer that you really respect Target's support of education and all that they do for your local schools, and tell them you want to be part of a company that values education so highly. Do your research. The interviewer can tell how much you know about the company/store, which shows that you cared enough about the job to learn more about it in advance.
How are you dressed when you go for an interview? What do you wear? The more professional you look, the more serious they will take you. Even if it's a retail job, look professional. Wear a suit. If you're applying at a clothes store, wear something you bought in that store. When I used to interview people, if they came in dressed to casually, I didn't think they were serious enough about the job.