The fast speed is a downside of limited compatibility as both are there due to the outdated Gecko-engine of 1.5.4.
The 1.6 and 1.7 branch are less outdated and more compatible, so you need to upgrade (or just use 1.6 and your current version side by side).
Try one of the portable builds from my signature. No need to install - just unpack in some new folder and use.
KM-16-S2014 is a hybrid build containing some parts from 1.5.4.
And K-Meleon Twin is the most compatible with new sites$ also it contains some tweaks of network connection so you have a chance to find it more quick.
And sure, you can ask all what you need when trying new builds.
With regard to the Twin I can help you to change some hidden settings to change your connection performance and maybe something else.
Latest Release KM75.1 Latest dev KM76RC
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Old good stuff: KM-1.6db+NS
© dugbugoffice // KM-16-S2014
© Fred // KM-1.6beta2.6
© JamesD // KM Twin+ © rodocop
// KM 18.104.22.168
RECOMMENDED! K-Meleon 76 Pro
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K-Meleon 75.1 Pro
|| Portable Flash plugin (x86/x64 DLLs)