Embassy (and Ambassador) and its Spanish equivalent, Embajada (and Embajador), both come from the same ancestor, the Old French Ambactos.
What is most interesting about these two is that it is an example of the pattern where the -j- sound in Spanish maps to the -sh- sound (and its cousins, like -ss- and -ch-) in English. Remember syrup and jarabe, chess and ajedrez, sherry and jerez, and push and empujar for a few examples.
Thus, the m-b-j of emabajada maps to the m-b-ss of embassy.
Perejil and its English version parsley sound very different. But they are, actually, etymologically the same word.
They sound different because often the -s- and -sh- sounds in Spanish turned into the letter -j- with the Arabic throat clearing sound as a pronunciation. Thus, the p-r-j-l of perejil maps exactly to the p-r-s-l of parsley.
The Spanish empujar (“to push”) has the same common ancestor as the English for the same, push: the Latin pulsare.
Pulsare meant, in Latin, “to beat”. A push is a sort of beat, in both senses: a punch and, a punch happening over and over again!
From the same root we also get the English, to pulse, of course. As does… impulse. Yes, an impulse is indeed a strong punch!
The sound here is a variation of the sh-to-j pattern, where variations of the s/x/sh/soft-g sound in Latin turned into the “j” in Spanish (via the Arabic influence) but remained the same as it transformed from Latin into educated English. Hence the “sh” sound in “push”!
In some of the Spanish words, they say maleta to mean “suitcase.” But in other parts, such as Argentina, they say valija.
Valija, although it sounds different from anything English, actually is quite similar to the almost-forgotten–my grandparents still use it!– English word, that also means “suitcase” , of valise.
Although they sound different, the connection becomes clear if we remember the pattern of the sh- to j- conversion: Latin words that had an sh- sound tended to turn into the j- sound in Spanish. Think of sherry/jerez.
In this case, the French valise entered English unchanged but when the French word was borrowed into Spanish, it was Spanish-ified with the s- sound turning into a j- sound. Thus, the v-l-s maps to the v-l-j.
The Spanish flojo means “slack, loose” — but it is a very common word in Spanish, often used to mean “relaxed” in a negative way, in senses like, “They cut themselves some slack.”
Flojo comes from the Latin fluxus, meaning the same as the Spanish. From fluxus, we get a bunch of English words, including: fluent, fluid, fluctuate and even (via fluent) affluent and influence. We also get the more fun flush and the most obvious flux (as in, “to be in flux.”) All of these can be understood in the sense that, that which is loose flows — and all of these words flow in one way or another: liquids are fluid, you speak fluently, flushing water flows, money flows if you are affluent, etc.
The -x- in the original Latin tended to disappear into the English (hence leaving the vowels before and after, as in fluent or fluid) or became a -sh- sound. This is an example of the common pattern of the -sh- sounds mapping to the throat-clearing -j- in Spanish, with the fl-sh of flush mapping to the fl-j of flojo.