All of what has been said, holds.
I am not sure why you need a glue block in addition to a faceplate, that just adds to the problem (i.e. not enough space to have the tailstock up). However, even with the tailstock up, there will be vibrations if your piece is unbalanced. Use the lowest speed setting, then increase until vibrations start. As Lazurus says, generally there is another speed setting just slightly higher where vibrations reduce again (it's do with resonance frequencies), but you may not be able to find that setting if you don't have variable speed (and I doubt you do on a £40 Arundel lathe).
Patience is called for on such pieces, and sharp tools and good technique. If you struggle with sharpening your tools, you probably should get advice/instruction from a more experienced turner first before going any further.