I'm guessing this is for some alternate history thing?

The first image for 1100 would have been broadly accurate for western Europe during the preceding 11^th C, while regional variations existed, they tend to be not overly pronounced unless economic factors (like in the celtic fringe) enter play. Later English plate armour did see variation from continental patterns, favouring longer rerebraces than other continental styles, perhaps as a reflection of the English predilection for fighting on foot at the time, but were at a glance similar to the general trend of plate armours. While Peter Jackson's Rohirrim are fictional, the use of leather over maille in the form of cuir boiulle was an actual historical trend during the late 13^th to early 14^th C as a sort of proto plate armour during the transitional period with some extent pieces surviving.

Regarding archery, while the Normans seem to have imported the Frankish custom of the poorest levies being armed as bowmen, the Saxons too practiced archery and seemed to have incorporated it into the 'shieldwall'. Archery for both peoples wasn't very respected, even compared to fighting in the main line of battle as a common levy and would only see a greater degree of use following the battle of Falkirk and the effective display of archery by the welsh brought along by Edward I. Prior to this, archers were seen as being of limited overall importance (see the ineffective stopping power against even unarmoured targets such as that at the battle of the standard for example) albeit a necessary one, being valued significantly less than crossbowmen who performed far better in terms of range and power. Clifford Rogers goes into some detail regarding what I've written. What the course of English warfare may have been had the Saxons repulsed the Normans is uncertain, although it is possible if the tradition of fighting on foot continued that it may have mirrored the latter English practice during the Hundred Years wars with massed archers and well armed heavy infantry although it may have just as likely have went the same path as Denmark and adopted aristocratic heavy cavalry in some form.