You sound like a very strong and positive person

. Your son is young, he sounds bright. Intense, early intervention will go a long way toward filling the gaps in his speech, eye contact, and behaviors.
My DD7 was diagnosed with autism when she was 2 years, 3 months old. The county recommended speech therapy, nothing else, and we didn't know any better to ask for more. At 2 years, 9 months, her speech therapist said that she had verbal apraxia. We had more thorough tests done just before she turned 3, and the diagnosis was severe autism and sensory integration dysfunction. She also has hyptonia (low muscle tone), fine and gross motor delays, seasonal affect disorder, auditory processing disorder, and anxiety disorder.
At age 3 years, 3 months, we started her with a Greenspan "floortime" play therapy program. We also had private OT in addition to 1 hour/week of school-funded OT. When the School District (SD) funded 2 hours of speech a week, we doubled it. We placed her in a mainstream, private preschool at that time, with a shadow aide. We had to fight with the SD for these services and partially fund the aide. Soon after preschool began, DD began babbling and sounding out word approximations. DD began to talk when she was 4 years, 2 months old, the day after preschool was out for the summer. She basically began reading from a book on that very day!
Life is still a struggle every day, but she is enrolled in a public mainstream 2nd grade classroom with a shadow aide now. She has pull-outs for speech and OT, and a social communication/emotional regulation program that just started last week. She sees a psychologist for her anxiety disorder every week, and she sees a private speech therapist for social groups when we can fit it in.
We tried ABA for both her and my DS4 (diagnosed autistic at 2). For us, Greenspan worked much better and was more natural. Maybe we have really awful ABA providers where I live, but I did not care for their methods. DS is now in a mainstream preschool this year without an aide, and he receives group speech services for articulation delays only. We still provide some Greenspan play therapy for him, and individual speech therapy. Next year, he should be enrolled in regular Kindergarten. We are amazed at their progress, while still saddened by hopes and dreams lost. But we've replaced them with more realistic expectations (tonight was "dinner therapy" which means going to a restaurant and seeing if we can survive) and new dreams. There is a book a friend loaned me, "You Will Dream New Dreams," which was very inspirational.
Our insurance covered 100 speech sessions at 70-90% and 12 OT sessions @ $25 each (out of $100) per year. ABA, school OT and school speech, was covered by the SD. Our Greenspan play therapy programs were paid for by us, initially, and later partially funded by the SD. We found the consultant, bought the books, recruited the tutors, trained the tutors, and paid them. We submitted invoices to the SD for partial reimbursement.
I hope this helps.