Obtaining a specific resistance
You're off to a good start. Yes, you can buy three resistors and wire them in series (not parallel!), although the first resistor you link to is a 22k, rather than a 2.2k, and if you connect the three resistors you've chosen, you'll get 34 k, rather than 14.2 k.

Despite the fact that they seem flimsy, the units you show will handle at least 100 times the power you expect to dissipate. After all, your calculator (correctly) showed that the desired resistor will need to handle .0018 watts, and each of your examples will handle 0.6 watts.

Finally, you really ought to be able to find a single 14k resistor to do the job, and you can forget building up combinations. Use this link http://www.daycounter.com/Calculators/Standard-Resistor-Value-Calculator2.phtml to determine that you can use a 14.3 k, 1% resistor and save yourself some effort.

And finally, finally, I'd recommend you stay away from Maplin. They have no search ability whatsoever, and this will make your attempts at finding appropriate parts a misery. As an alternative, try Digikey. I'm sure there are other suppliers in the UK as well, but that is one of the convenient go-to sources for parts in the US, and their website indicates they have facilities in the UK.