An enjoyable challenge - thanks. Please remember that you cannot abbreviate any old word to its first letter as you did with "many" in 14D. These have to be valid abbreviations. In 1D, nothing suggests to me we have to combine "rum" and "pies" before anagramming. Also not convinced by "pudding" as anagrind. Take care.
Hi! Thank you for your comments. 14D MANY; "can be used to signal a Roman numeral for a large number, such as L, C, D, K etc" (B. J. Holmes "Pocket Crossword Dictionary"). 1D I have seen this several times in "The Daily Telegraph" cryptic crossword; two lots of fodder, each one with its own anagrind, linked by "and" or "with". "Pudding" is regarded as an anagrind by B. J. Holmes; I use his book extensively as a source of advice; I believe that it was originally a Bradford dictionary. Once again, thank you for your comments - they are most welcome.
I get you. In that case I'd like to have a word with this Holmes character. It's all a bit iffy. (Also, I assume you meant LCDM rather than LCDK, because that's where the many = 1000 = M comes from?)