If anything I am more of the side of TimeFlipper due to it being unspecific. You said you have attempted to try to get back to the year "you call home", what have you really done to try to get back? What attempts have you made?
I would also like to know how you were able to in-take all of this information/knowledge within a span of 5 years. You have to be able to get a good and stable job at least and doing this you will need training of some sort at the very least., you must have some sort of income if you're not living in a permanent establishment and I'm sure within the span of 5 years you must of been homeless at least for a year or so until you got a job.
This is why I cannot believe your story, because if you were a time traveller and you have "attempted" to get back, how have you done all of that within a span of 5 years, it just doesn't seem logical, especially for someone who came from the 1920's, who some how drove a very old family member of the bicycle and suddenly appeared here, when technology is beginning to grow at a rapid rate.
If possible, if you have time travelled from 1920 I am sure your best bud Tesla would have at least put a known record of you missing randomly, especially if no one knew the reason why you went missing, and that would have been a known record some where in the world. Especially if you have time travelled, and of all people Tesla. Why haven't you given your surname? So we can actually try to help you if you have come from the past and attempt to find documents about your relationship with Tesla, if it is true.
I would also love you to explain to me what you mean by Tesla's unexplained or unrecorded theory on "Time Swiftness"?
I am very curious about this, if possible mail my inbox I would love to talk to you privately about this Time issue of yours, but before we do get into the conversation on helping you if you really are from 1920's I would first like to be convinced that this is true, and so far nothing has convinced me. Good luck !