Chemistry neither required nor relevant for architecture. For engineering it's not normally required except occasionally for chemical engineering or materials science, although it might be helpful background for those even where it's not required and possibly for a few other engineering disciplines.
I would not suggest taking four subjects unless two are maths and further maths, there is no benefit in doing so. Chemistry pairs better with physics than biology, but if you are convinced you will do much better in biology then it would probably be better to take that. Further maths would be more relevant than either for engineering/maths/physics/CS/economics and similar courses however.
Several architecture courses require an artistic A-level, and most if not all require you to submit a creative portfolio when applying. It may be difficult to develop an appropriately sophisticated portfolio without studying any artistic subjects to A-level. I'm not aware of any architecture courses that prefer FM, and I can't see the content is relevant (unlike A-level Maths).
Architecture and engineering are very different subjects to study at university, and fairly different areas to work in. I would recommend you spend some time researching each area to see if you are genuinely interested in each.