Hi Linker:
Multiple All-ins wagers less than a standard raise, even if they don't qualify as a full raise, must be considered as a "raise action" thus first player after has the option to either re-open the betting with a raise or call. If this player decides to call, then other players still in game have the option to either call or fold.
In all honesty, this house rule confuses me.
First, the way the rule is worded, is sounds like the first player can re-open the betting by "calling", which would not be correct. Also, if there are multiple all-ins, whether or not a player that has already acted can raise really depends on the amount he needs to call. This is the point of RROP's no-limit rule #4: You can have multiple all-ins, where each when considered individually is not a full raise, but when action returns to a player, that player
may or may not be able to raise again... it depends.
For example:
50/100. Player A bets 100, Player B raises 200, Player C goes all-in 250 (a raise of 50), Player D goes all-in for 275 (a raise of 25). If player A calls, B cannot raise.
50/100. Player A bets 100, Player B raises 200, Player C goes all-in 250 (a raise of 50), Player D goes all-in for 300 (a raise of 50). If player A calls, B can still raise.
In both these cases, the amounts of the raises by C and D are all less than 100, but the betting will be re-opened to B if A only calls in the second example but not the first.
Example 1: 50/100. Player A bets 100, Player B raises 200, Player C all-in 225 (not a full raise of 100). It's player A turn. If he calls, then player B can only fold or call.
Example 2: 50/100. Player A bets 100, Player B raises 200, Player C all-in 225 (not a full raise of 100). It's player A turn. If he raises, player B can now decide to re-raise.
Specifically, your examples are correct, but the reason why A has the option to raise is not because of the all-in and it is not because C's wager is a "raise action" as your rule suggests; A can raise because B has legally raised, and the subsequent all-in is not relevant. Because B has made a legal raise, A will be facing a legal raise
regardless of what happened after B, so A can re-raise. Another way of looking at it is that when action comes back to A, he needs to call 125 to stay in, which is more than the minimum raise amount of 100 for that round, so A can re-raise. Consider if B had only called 100 initially -- A would not be able to raise then, although the house rule would seem to imply that he would have that option.
On the other hand, if A decides to call, it is only 25 for B to call (which is less than the minimum raise amount of 100 for that round), so B cannot raise again because he is not facing a raise of 100 or more after taking into account all betting that has come before him.
IMO, RROP NL #4 is somewhat confusing, because it starts off talking about multiple all-in wagers, even though the example given doesn't show multiple all-ins. But the principle itself is sound, and you really have to read it in conjunction with the preceding rule, which says "A player who has already acted and is not facing a fullsize wager may not subsequently raise an all-in bet that is less than the minimum bet or less than the full size of the last bet or raise", to get the whole picture. You may be better off sticking with the language of RROP NL #3 and #4 than trying to rewrite the rule for your house rules set.
Here are the two RROP rules for your reference:
3. All raises must be equal to or greater than the size of the previous bet or raise on that betting round, except for an all-in wager. Example: Player A bets 100 and player B raises to 200. Player C wishing to raise must raise at least 100 more, making the total bet at least 300. A player who has already acted and is not facing a fullsize wager may not subsequently raise an all-in bet that is less than the minimum bet or less than the full size of the last bet or raise. (The half-the-size rule for reopening the betting is for limit poker only.)
4. Multiple all-in wagers, each of an amount too small to qualify as a raise, still act as a raise and reopen the betting if the resulting wager size to a player qualifies as a raise. Example: Player A bets $100 and Player B raises $100 more, making the total bet $200. If Player C goes all in for less than $300 total (not a full $100 raise), and Player A calls, then Player B has no option to raise again, because he wasn’t fully raised. (Player A could have raised, because Player B raised.) 
