Your description (spiny branches, serrated plastic-like leaves, slow growth, sunburns easily) suggests a cycad (e.g., Cycas revoluta - sago palm) or a spiny palm like Phoenix roebelenii (pygmy date palm) or Chamaerops humilis (Mediterranean fan palm). But "tiny woody stickers on branches" and "fuzzy branches" are unusual.
Once identified, specific care (cold hardiness, water needs, toxicity) can be given. Cycads, for example, are very drought-tolerant but hate wet feet; some palms need more water. A photo changes everything.
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