Admitting that Norse or Danes doesn't come back to kick Hardold's ass.
1) Is england a more egalitarian society, or at least with less extreme versin of feudalims
I don't know what is an "extrem version of feudalism". Do you mean a society where feudalism isn't the main societal and institutional feature? Then, partially yes.
You'll end with or a very specific feudalism with important particularities like, say in Danemark, or even with a semi-feudalism with a more important free peasantry (The expression is confusing : the only really free peasantry is the one without lord, but here's we're talking not serve peasantry) and nobles having a territorial rule but less complete on population.
No Common Law : it was created OTL by Normans in order to fill the gap between Norman customs and Anglo-Saxons uses (at the benefit of the first). You'll end with a custom system more and more influenced by continental and Romans features, but it would be really different from what we know, and more close to other northern countries.
2) How likely is England to become Protestant?
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Such a POD is likely to butterfly Protestant reform. If not, let's veil our eyes to not see cute little flying monsters, how Protestantism managed to dominate in England was due to really precise situation would certainly challenge this.
3)Is England likely to industrialise?
Why not?
4) What about an empire, would it happen?
Again, it's a really early POD when western Europe just began to form a stable and growing civilization. Everything could happen there.
Now, some clues : a AS would be a northern european state rather than a western one regarding many features.
- Semi-feudal system
- Economically tied with North Sea and Scandinavia (while still having later important relations with Flanders if textile production still is dominant IATL)
Less of an Atlantic power in first place, even if it's going to happen sooner or later, without continental holdings, it is possible we have an England more isolationist than expansionist or imperialist.
5) Also does England seek to control Wales, Scotland and Ireland?
Scotland is a big yes, but not going to be easy and while I expect Lowlands to be eventually taken (critically the eastern part) as AS England would be more likely have its economical interests in North Sea instead of Channel and Western Atlantic, Highlands are likely to avoid direct conquest from England being vassal of Norway or England or independent Scottish or Norse-Gael kingdom with eventual part of Northern Ireland.
Wales is more probable but not less hard to do and it would need some incitative : OTL Normans began to invade Wales because Welsh statelets began to harass their western borders with the help of Norwegians.
No Norman conquest could easily lead to a more lasting independent Welsh statelets. Despite resources from insular and continental holdings, Normans and Plantagenet had a hard time to submit them eventually and avoid continuous revolts.
It would all be dependent on the political situation of Wales : if disunited even later, more likely to be conquered. If somewhat united, there's possibility to turn them in marches or client-states.
Ireland...I would be temped to say no, if the whole Island wasn't a clusterfuck of warring lords. There's at least a good possibility for coastal control in a first place and later OTL-like conquest.
I've always wondered what this would mean for future military engagements and stuff that England might find itself in, Particularly the continent - what sort of position is it in invasion-wise and who is likely to try?
I don't see what would change, honestly. After the Viking Age and the begging of Classical Middle Ages, military features were roughly the same with important regional particularities.
Stuff like longbow would be still present, the appearance of a mounted heavy cavalry is going to happen at least because of close continental influence and probably conflicts.
Who would be the more likely to invade?
First, I think we should ask raid-wise for a first time. We have four candidates : Normandy or France if Normandy is absorbed, Danemark, Scotland.
It's really dependent on the interest of a possible invader and I don't see someone powerful enough trying to do so except Scandinavians.
