1) For shifted forms, you can try using a Form Alignment process to adjust the form on the image to be in a consistent normalized location
2) For resolution/scaling issues, you can try using "Percentage" units for the zone position rather than pixels
3) If you choose to use pattern matching, your pattern needs to search for line breaks (and search for things that are NOT line breaks).
E.g., this pattern might work: 1\s*Name[^\r\n]*\r\n\s*([^\r\n]+)
(it's looking for "1 Name", with variations of whitespace, followed by any number of non-line-break characters, followed by a line break (\r\n), followed by whitespace, and then finally capturing all non-line-break-characters on the second line)
A common practice is to use an oversized zone OCR zone to capture just *some* of the text (instead of matching the whole page), then using pattern matching to filter it down further. 
4) If you're using zone OCR and you want to capture multiple lines (e.g., your zone is large like suggested in #3), set the advanced option "Single line" to false (it defaults to true)

5) If it's a fillable PDF form, you may be able to extract the value directly using the Retrieve PDF Form Content process