Hi,
Looks to me that you have the LED directly across the supply rails in #25. It needs a series resistor unless you use a special (built-in current source) type. Personally, I don't think that DIL (or even SIL) resistor packages with
separated resistors are worth bothering with for "home" projects. Probably more costly and difficult to obtain, less flexible and no space saved over mounting standard resistors vertically.
il be using this serial to
USB converter
That's a very significant risk with the basic description given (and not particularly cheap with postage added). "TTL" serial signals are normally inverted relative to PICAXE (programming) requrements and the chip might not support the essential "break signalling". The listed price may also put it in the "fake" bracket, but perhaps it's "subsidised" by the rather high shipping cost.
If price is an issue, search for
manuka's recommendations of the "Blue" serial adapters. You would need to make an interface cable for the standard "9-pin sub D" COM port connector. But that could connect to the (now) PICaxe standard 3.5mm jack plug used by most PICaxe projects.
Cheers, Alan.